2158279200 has 864 divisors, whose sum is σ = 10090604160. Its totient is φ = 420249600.

The previous prime is 2158279199. The next prime is 2158279309. The reversal of 2158279200 is 29728512.

2158279200 is a `hidden beast` number, since 2 + 1 + 582 + 79 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9424686 + ... + 9424914.

It is an arithmetic number, because the mean of its divisors is an integer number (11678940).

Almost surely, 2^2158279200 is an apocalyptic number.

2158279200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045302080).

2158279200 is an abundant number, since it is smaller than the sum of its proper divisors (7932324960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2158279200 is a wasteful number, since it uses less digits than its factorization.

2158279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2158279200 is about 46457.2836054800. The cubic root of 2158279200 is about 1292.3174495600.

The spelling of 2158279200 in words is "two billion, one hundred fifty-eight million, two hundred seventy-nine thousand, two hundred".